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A surface functional theory for p-dimensional extended objects, the p-branes,was proposed in previous papers. The field equations for toroidal p-branes wasexactly solved in $d=p+2$ dimensions, yielding equally spaced mass-squaredspectrum with massless states. In this paper, we obtain the asymptoticdistribution of mass spectrum in the point-particle limit of the theory withsphere-like membranes ($p=2$) in $d=4$ dimensions. Similarity between thisspectrum and that obtained in the Dirac's membrane model of electron isdiscussed.Comment: 16 pages. Plain Te

Spherelike solutions in surface functional theory and Dirac’s membrane model